Unified formalism for 6D superamplitudes based on a symplectic Grassmannian

DOI10.1007/JHEP08(2019)125zbMATH Open1421.81145arXiv1907.03485WikidataQ127337078 ScholiaQ127337078MaRDI QIDQ2273467

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Publication date: 23 September 2019

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Abstract: Recently, twistor-like formulations of tree amplitudes involving $n$ massless particles have been proposed for various 6D supersymmetric theories. The formulas are based on two different forms of the scattering equations: one based on rational maps and the other based on polarized scattering equations. We show that both formulations can be interpreted in terms of a symplectic (or complex Lagrangian) Grassmannian, $mathbbLG(n,2n)$, and that they correspond to different ways of fixing the $mGL(n,mathbbC)$ symmetry of $mathbbLG(n,2n)$. This provides an understanding of the equivalence of these different-looking formulas, and it leads to new twistor-like formulas for 6D superamplitudes.

Full work available at URL: https://arxiv.org/abs/1907.03485

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